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Finding the Fourth Proportional to 7,229.64, 9,977.10 and 4,085.76

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Solution

The fourth proportional to 7,229.64, 9,977.10 and 4,085.76 is: 5,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.64 : 9,977.10 = 4,085.76 : x
  2. Step 2: Convert to fraction form
    7,229.64/9,977.10 = 4,085.76/x
  3. Step 3: Cross multiply
    7,229.64x = 9,977.10 × 4,085.76
  4. Step 4: Simplify right side
    7,229.64x = 40,764,036.10
  5. Step 5: Solve for x
    x = 40,764,036.10/7,229.64
  6. Step 6: Final answer
    x = 5,638.46

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.